# Back reaction of clocks and limitations on observability in closed systems

@article{Casher2000BackRO,
title={Back reaction of clocks and limitations on observability in closed systems},
author={Aharon Casher and Benni Reznik},
journal={Physical Review A},
year={2000},
volume={62},
pages={042104}
}
• Published 2 September 1999
• Physics
• Physical Review A
Measurements are ordinarily described with respect to absolute Newtonian'' time. In reality, however, the switching-on of the measuring device at the instance of the measurement requires a timing device. Hence the classical time t must be replaced by a suitable quantum time variable \ensuremath{\tau} of a physical clock. The main issue raised in this paper is that while doing so, we can no longer neglect the back reaction due to the measurement on the clock. For a von Neumann measurement… Expand
6 Citations

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#### References

SHOWING 1-10 OF 20 REFERENCES
Time as an Ovservable
• Proceeding of the 10th Max Born Symposium
• 1997
Class. and Quant. Grav
• Class. and Quant. Grav
• 1992
Proceeding of the 4th Canadian Conference on General Relativity and Relativistic Astrophysics
• World Scientific)
• 1992
Phys
• Rev. D 42 2638,
• 1990
Phys
• Lett. B334, 472,
• 1990
Phys. Rev. D
• Phys. Rev. D
• 1990
Phys
• Rev. D40 2598
• 1989
Phys. Rev
• Phys. Rev
• 1989
Phys
• Rev. A57, 4130
• 1988
Phys. Rev. A57
• Phys. Rev. A57
• 1988